Let n(t)n(t) be the size of the population of a specific country at any time tt. Suppose the maximum population size this country can possibly sustain is N=N= 1367985. Suppose further that the rate of growth of the population at any current time tt is proportional to both the current population size and the difference between the maximum population size and its current size. (Use λ as the proportionality constant). If we take the initial population at time t0  = 2003, to be N0 = 10765, and use a proportionality constant λ = 2.3244133E-7. What will the population be in t=t= 2005? The population will be  Blank 1. Calculate the answer by read surrounding text.

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.